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152066200 = 235211132409
BaseRepresentation
bin10010001000001…
…01100010011000
3101121010202121111
421010011202120
5302412104300
623031150104
73524353456
oct1104054230
9347122544
10152066200
1178923650
1242b15334
1325673500
14162a59d6
15d53b9ba
hex9105898

152066200 has 144 divisors (see below), whose sum is σ = 418667400. Its totient is φ = 50918400.

The previous prime is 152066183. The next prime is 152066203. The reversal of 152066200 is 2660251.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152066203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 371596 + ... + 372004.

Almost surely, 2152066200 is an apocalyptic number.

152066200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 152066200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209333700).

152066200 is an abundant number, since it is smaller than the sum of its proper divisors (266601200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

152066200 is a wasteful number, since it uses less digits than its factorization.

152066200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 152066200 is about 12331.5124781999. The cubic root of 152066200 is about 533.7577957753.

The spelling of 152066200 in words is "one hundred fifty-two million, sixty-six thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 169 200 220 260 275 286 325 338 409 440 520 550 572 650 676 715 818 845 1100 1144 1300 1352 1430 1636 1690 1859 2045 2200 2600 2860 3272 3380 3575 3718 4090 4225 4499 5317 5720 6760 7150 7436 8180 8450 8998 9295 10225 10634 14300 14872 16360 16900 17996 18590 20450 21268 22495 26585 28600 33800 35992 37180 40900 42536 44990 46475 53170 58487 69121 74360 81800 89980 92950 106340 112475 116974 132925 138242 179960 185900 212680 224950 233948 265850 276484 292435 345605 371800 449900 467896 531700 552968 584870 691210 760331 899800 1063400 1169740 1382420 1462175 1520662 1728025 2339480 2764840 2924350 3041324 3456050 3801655 5848700 6082648 6912100 7603310 11697400 13824200 15206620 19008275 30413240 38016550 76033100 152066200